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Finding the Third Proportional to 217,628 and 478,024

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Solution

The third proportional to 217,628 and 478,024 is: 1,049,988.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,628 : 478,024 = 478,024 : x
  2. Step 2: Convert to fraction form
    217,628/478,024 = 478,024/x
  3. Step 3: Cross multiply
    217,628x = 478,024 × 478,024
  4. Step 4: Simplify right side
    217,628x = 228,506,944,576
  5. Step 5: Solve for x
    x = 228,506,944,576/217,628
  6. Step 6: Final answer
    x = 1,049,988.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.